Sleep and naps

Sophia
My son is 3.5 months... and lately hes decided he doesnt want to nap. You can tell hes tired, he will fall asleep on the boob but as soon as i put it away he wakes up. Since we got up this morning (around 8), hes napped about an hour. Maybe an hour and a half. At night its like hes up every hour to eat for like 5-10 mins then falls asleep again. He just wants me to hold him and walk around with him. Which is hard since i have 3 other kids to take care of. Hes also teething and has allergies/cold again (stupid bipolar weather). Is anyone elses kids like this? I dont remember my other kids doing this. I need to invest in more toys for him to keep occupied. What do you recommend?