is there a wallet wherein i can accept many types of crypto?
or do i have to make an account for each type?
Safest is always the one provided by the Coin Developer. But some online wallets are also running from ages and yes we can trust little bit on them.
If you are earning from faucets and want to use your coins frequently then :
http://cryptonator.com is best online wallet.
If you are using Android then Coinomi is having 40-50 famous coins wallet in it.
So u can use any service, for long term best is to store in Paperwallet and later retrieve through privatekey