You are not likely to notice bed bug eggs unless you look very closely. They appear murky-white in colour and are roughly 1mm long, often clustered in cracks and crevices close to where bed bugs feed.
You may find eggs and shed casings in and around sleeping areas - inside headboards, along bed frame joints, behind skirting boards and in nearby furniture. Their pale colour makes them blend in with most surfaces, which is one of the reasons DIY pest control often misses them.