If the faucet has an aerator you shouldn't have to worry too much about splashing as long as its away from you. The sing does sound rather shallow however so you may want to see if there are any faucet recommendations at the sink manufacturers web site. One last thing. Buy a quality trusted brand faucet. All too often I have seen a cheap faucet destroy a bathroom and more when they fail. Have it installed by a licensed plumber as well.