My landlord broke my lease what rights do i have?

when we first moved in we started noticing problems right away. the furnace they told me worked didn't work and it turned out that they knew the whole time. it took about 5 phone calls over a period of 2 weeks to get the problem resolved. the first time i went to put my son in the bath i turned on the water and the faucet head shot off spraying water all over and then when i turned it off it leaked water all over the kitchen area. those problems were resolved and i was somewhat understanding about the situation. now 3 months later in the middle of winter our furnace stopped heating the back two rooms of the apartment and we have water leaking in the back two windows. they sent somebody out who did nothing other than agree with me that these two things were wrong and then left. 2 weeks went by and i didnt even receive a phone call to tell me what they were doing. right at that 2 week mark our water shut off and has not been worked on 2 days have gone by and the only thing they have done is drop an electric heater off and told me to pull my stove out and heat the pipes coming into the house. i have been patient and understanding but the way they have handled this water situation has pushed me over the edge. i have a 15 month old son and a newborn on the way home and this environment is not suitable for myself to live in let alone my family. i have given them plenty of time and would have even made the repairs myself by now if it didn't say i wasn't allowed to in the lease. these are just the major problems there is a list of about 25 minor problems i have noticed and just worked my way around. is there any way i can move and have my moving expenses paid for by this company? if not what am i allowed to do about this?