Congrats! But i would advise you to not make 5 sets of push ups until failure! This might seem like it's the best way to make progress, but mostly it's not. Especially for beginners. Sometimes less is more! Trust me, try to find the right amount of reps and do 5 sets or whatever you want and your general outcome will increase! There are many articles out there about training to failure, better build your own opinion about that!
But most important, keep up your good work!