Should you work out everyday?
No you shouldn't. Think it like this, you're working out for 7 days a week for a whole month. Do your muscles get anytime to rest, grow and repair? No. You should workout for around 30 mins a week 4-5 times a week as your body can then recover
If you workout every day I would alternate between leg days and arm days. I'd look at a program similar to this.
Monday ....lowed body
Tuesday .....upper body
Wednesday .....core and cardio
Thursday .....lower body
Saturday ..... core and cardio
If you're just beginning, you can work out every other day, total body workouts. I wouldn't split your routine into days at such an early phase