I always believe that daddies should step up to help mummies with the toddlers in various tasks. Nowadays, both daddies and mummies work too, so helping out is a great thing to do.
For me, I always help my wife and share the burden with her. The help I gave her includes changing diapers, bathing, picking out outfits, choosing books, choosing the school, choosing toys, putting my 2.5years old son to sleep, reading to him, etc. Especially when my wife is pregnant with our dear baby girl! :D
I do realised that some daddies have some trouble dealing with their toddlers in different tasks, so let me share my experience in completing various basic tasks.
Changing diapers
Constantly anticipate and distract the toddler/baby, it helps a lot.
Yes, your kid is going to reach for that toilet paper in the diaper room near the changing table. Yes, your kid is gonna fidget or try to touch the poo in the diaper. And many yes-es to many more incidents. So what do I do? Anticipate. I know my son gonna do all these stunts, so I anticipate. I slightly push his hands off when I see that he is gonna try something funny. And I took out many pieces of baby wipes (to wipe his poo) in advance and passed him the whole baby wipes (or a toy) as a distraction.
Bathing
Put some of your kid's favourite toys in the shower room.
As my wife is pregnant, she is unable to bathe my son as much as before. We used to share the task but I'm doing it 90% of the time now. If my son wants his mummy to bathe him, I will try to find ways to coax him so as to let me bathe him. For example, he likes rubber ducky. So I ensure that there is a rubber ducky in the shower room. Then I will say things to him like "Remember? Rubber duck? He needs his bath. Do you want to bathe him?" Or take the rubber ducky out and mimic Donald Duck's voice and say, "Jaron. Help me! I need a bath!"
Putting your child to sleep
Be firm and put your kid in the bed at the same time everyday.
Make it a habit of putting your kid in bed at a specific time everyday. Be firm even if your kid refuses to. My son answers "No" to sleeping when I asked him. Or sometimes he answers me "Play cars" and is unwilling to go to his room for bedtime. But I remained firm, I turned down the lights and put him into bed. He starts to enter to the dreamland after some coaxing and singing. Very soon, he has the habit of going into bed during that specific timing.
Sometimes, things are not as difficult as it seems if you put a little heart into it. GO DADDIES! You can do it! :)