First of all, the right place for this thread is at
Project Development board.
A simple shared hosting will not be enough for this. You'll be required to have a VPS or a dedicated server to host the coin network infrastructure, the dependence will become lesser as more and more people will join the network as it progresses.
Also, your coin's daemon and RPC will essentially act as a wallet, but the end-users (without much technical knowledge) may find it difficult to use. In that case, I'd highly recommend that you use
Bitcoin Wallet Script from Overfeat.com which works for all forks of Bitcoin and Litecoin.