I need help please any advice helps?

ive known this guy for almost a year now and we are now together it been one month and two weeks today and well i made a really horrible mistake the first couple weeks we started, i sent pictures to someone other than him and i was going to tell him but was scared to i was going to wait till the right time but than he found out and when he asked me bout it i denied it cause he was mad at the time and i was surprised he found out and i wanted him to hear it from me not someone else. now he said he'll give me another chance but im not sure if he wants to cause he wants to or if he wants to cause he knows it would hurt me and he promised to never hurt me so would he just be staying with me cause of that? but i know what i did was stupid i regret it and wish i could take it back but i cant and now all i want to do if have him trust me again and believe me again but how please tell me how ive tried telling him and crying to him cause thats all i want i love him with all my heart i want him happy more than anything and one more thing ( girls have you ever got in a fight with your boyfriend and tell him you love him while your fighting cause you want things to get better and stop the aruement but he doesnt tell you he loves you? my boyfriend when ever we fight he never tells me he loves me why is that i think bout that all the time it wounders me....but please help me what should i do to make him trust me and believe me again?I need help please any advice helps?
Behave yourself, and act properly. don't be lying or cheating. then anyone can see you are reformed. don't grovel however.