Answers that mention SiteGround

If your priority is minimal downtime + a straightforward migration from shared hosting, I’d focus less on raw VPS performance and more on control-panel support, migration documentation, backups/snapshots, and how easily you can stage the new server before changing DNS.

Providers/platforms I’d consider

• DigitalOcean — A good fit if you’re comfortable with a Linux VPS. They have specific migration documentation for moving WordPress and other sites from shared hosting, and you can build the new Droplet alongside the old host, test it, then switch DNS. DigitalOcean DigitalOcean

docs.digitalocean.com

• Vultr — Particularly appealing if you want a conventional VPS but don't want to improvise the migration process. Their documentation explicitly covers migrations from shared hosts such as GoDaddy, SiteGround and HostGator, including files/databases via rsync, scp, etc. They also provide snapshots and backups. Vultr Docs Vultr Docs

docs.vultr.com

• Hostinger VPS — Worth considering if simplicity is more important than having a bare-bones cloud VPS. Their migration documentation covers cPanel, DirectAdmin, CyberPanel and migrations from external providers. If your current shared host uses cPanel, keeping cPanel/WHM on the VPS can make the transition substantially easier. Hostinger Hostinger Help Center Hostinger

hostinger.com

For minimal downtime, I'd use this migration pattern

Don't shut down the shared host and then move everything. Instead:

1. Create the VPS while the shared site remains live.
2. Install the same PHP/runtime, web server and database versions.
3. Copy the site files and database to the VPS.
4. Test the VPS using a temporary hostname or local hosts-file override.
5. Lower your DNS TTL ahead of the move.
6. Do a final database sync immediately before cutover.
7. Change the DNS A/AAAA records to the VPS.
8. Keep the shared host running for at least a few days as a fallback.

That can reduce the actual outage to essentially the final database sync + DNS/application cutover, rather than hours of downtime. Vultr's migration documentation specifically recommends staging/testing the new environment and lowering DNS TTL before the switch. Vultr Docs

One important distinction

If this is WordPress, I'd lean toward a VPS with a management layer/control panel rather than an entirely raw VPS unless you're comfortable administering Linux.

If it's a normal PHP/MySQL site, cPanel → cPanel/WHM is probably the easiest migration path. Hostinger specifically documents using cPanel's Transfer Tool when both ends use cPanel. Hostinger

If you tell me your current shared host (e.g. Bluehost, GoDaddy, SiteGround, HostGator), whether it's WordPress/cPanel, and roughly how large the site/database is, I can narrow this down to 2–3 options and give you a near-zero-downtime migration plan for your particular setup.

If your priority is minimal downtime + an easy migration from shared hosting, I’d shortlist these:

• cloudways.com — easiest overall. It handles much of the server management for you and offers expert migrations; its WordPress migrator can automate the move. Cloudways says its managed migration is designed for minimal/zero downtime. Cloudways Cloudways Help Center
• digitalocean.com — best simple DIY VPS. Droplets are straightforward, documentation specifically covers migrations from shared hosting, and you can build the new server while the old site stays live. DigitalOcean
• vultr.com — good DIY alternative. Their migration documentation explicitly covers shared hosts such as GoDaddy, SiteGround and HostGator, including file/database transfer with scp or rsync. Vultr Docs

What I'd choose

If it's WordPress: Cloudways. The migration tooling and managed assistance make the transition substantially less hands-on. Cloudways

If it's a small PHP/MySQL site and you're comfortable with Linux: DigitalOcean. You get a clean VPS without paying for a managed layer you may not need.

If you want the VPS experience but don't mind doing the migration yourself: Vultr is also a solid choice.

For near-zero downtime

The provider matters less than the migration procedure. I'd do:

1. Create the VPS and install/configure the application.
2. Copy the site files and database while the old site remains live.
3. Test the new VPS using a temporary hostname or hosts-file override.
4. Lower DNS TTL ahead of the cutover.
5. Put the old site into maintenance/read-only mode briefly, if necessary.
6. Do a final database sync.
7. Switch DNS to the VPS.
8. Keep the old host running for several days as a rollback option.

That approach can make the actual cutover only minutes or effectively imperceptible, rather than taking the site offline for the whole migration.

If you tell me what you're running on the shared host (WordPress/cPanel/PHP+MySQL/Laravel/etc.) and roughly how much traffic/storage it has, I can recommend a specific VPS provider + size and give you a zero/low-downtime migration plan.