Hi Kayleigh,
I had a beautiful lurcher many years ago and he was a 'nipper'. The best advice I've ever been given for when dog play biting gets a bit out of hand is to teach him what you DO want him to do instead and be consistent - he won't learn from the first time you reinforce a positive/ negative reaction.
For example: When he bites, squeal (it works, as it is extrordinary for you to make the noise) and immediately ignore him. turn back, don't make eye contact, walk away. If you do this every time he bites he will eventually realise that biting leads to no attention, and that you 'the boss' are in control of playtime. After 30 seconds to a minute, find a tug toy and praise him for playing with you nicely, make positive sounds and do long rubs on his back (try not to ruffle ears or pat him on the head (would you like it? try it)) Really play with the toy, it's a game, he's a good dog.
Tapping him on the nose can seem like another 'game', he is still getting your attention even though you wanted it to be seen as a negative reaction (same with pushing away). It's easier to do this, but make the effort to get up and walk away.
Lurchers are fantastic dogs, truy loving and I really hope that with some perserverance this works for you - they are a bit like labradors and take a while to grow out of 'puppy' mentality.
All the very best - Ps There are loads and loads of YouTube vids on dog training, so if you can't afford training, have a go at some of the sit/ stay, Wait/ down tips that they offer at home. My lurcher (bearded collie x greyhound) eventually went to agility classes when he was old enough and became a much better behaved hound.
Keep loads of little treats nearby to reward him also.
Good Luck xx