Be realistic about what you can afford. Most apartment renting guides suggest that your rent should not be more than 25% to 30% of your income. This can vary depending on the income bracket, but be sure to be "real world" when budgeting additional apartment expenses such as heating and air conditioning and other utilities. If you fall short of affording the apartment of your choice, you might consider sharing an apartment with a roommate or roommates. Keep in mind that living with roommates can help you afford an upscale apartment or even, in some cases, luxury apartments, but it also has extreme restrictions to your privacy.
If you do not understand every single clause of that apartment lease then do not sign it until you do understand it. If necessary and if possible, request assistance in interpreting the lease from a trusted source such as a knowledgeable friend or family member or employer or professional, or anyone else who can understand it and explain it to you. If necessary get legal advice. It can cost additional funds if you do not qualify for free legal assistance, but that additional cost might save you a ton of money and save you a ton of heartache and aggravation down the road.
Narrow your apartment locating to the size of rental unit you need. Studio apartment or one bedroom apartment or 2 BR apartment or more. Are you considering a furnished apartment or do you possible need a short term rental. If you are renting an apartment with a cat, dog, or other pet, you need to find out which apartments allow renting with pets and which do not. And, if they do allow pets, is there an additional security deposit required and if so, how much it is. Do you need an apartment complex with an exercise room or tennis courts or a pool or a recreation room, etc. or do you simply need and desire a nice clean and quiet pad.