What is the best coin purse I can register?
it's not totally clear if you're looking for a wallet or a portfolio app. for wallets, i would choose one from this list:
https://bitcoin.org/en/choose-your-walletmy personal choice is electrum for a lightweight wallet and bitcoin core for a full node.
for portfolio tracking apps, i recommend delta or blockfolio. delta seems a bit more accurate and supposedly they have better privacy policies.