This is the compatible wallet list (may not be exhaustive):
Metamask (both Mobile and Desktop)
Wallet Connect (for compatible wallets, e.g. Math Wallet)
Trust Wallet is not compatible.
In this guide, we’ll only treat Metamask. Metamask works for both Desktop and Mobile.
You can download the Metamask app (Android or iOS) or the browser add-on (Chrome, Firefox, Brave, Edge) here: https://metamask.io/download.html
STEP 1B: Add the Polygon network to Metamask
Network Name: Polygon Mainnet
New RPC URL: https://rpc-mainnet.matic.network
Block Explorer URL: https://polygonscan.com/
STEP 2: Get some (free) MATIC for gas!
Here are some polygon faucets.
With those, you’ll be able to get some free Matic to perform your first transactions.
Those Matic will be enough to do dozens of transactions, if not hundreds, but you should still buy some more Matic as soon as you get funds on the Polygon chain, just in case!