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.
If you are familiar with the area and its neighborhoods, that gives you a distinct advantage for your apartment search. If, however, you are relocating to a new city or are not particularly knowledgeable about the city, you may want to contact an Apartment Locator or an Apartment Finder.
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.