The purpose of this forum is to promote the BEST PRACTICES in the care of budgies for their optimal Health and Well-Being
Your budgies are both males and are adorable. It's BEST that you have two of the same gender. Much easier than when you have to discourage breeding.
Budgies do not need to be bred. They are healthier and happier when they do not. They do look to be around 4-5 months old.
If they are able to fit their heads between the cage bars, then the bars are spaced too far apart. The space between the bars should be no more than 1/2".
The cage you have them in is much too small.
Cages that are wider than they are long are better. The minimum size cage for two budgies would be 30" Wide by 18" Long by 18" high.
The bigger the cage, the better. Make sure the spacing between the bars is no more than 12"
Why do you get scared to put your hand in the cage? If you are afraid of your birds why would you choose to have them?
If the budgies are pooping then they are drinking. Otherwise they wouldn't be able to poop.
If one budgie is bullying and aggressive with the other, the two may have to be housed separately.
You can not allow more than just normal bickering between two birds or you risk one being damaged emotionally as well as possibly being severely injured or killed.
I recommend you get natural wooden perches of varying diameters (not wooden dowels) to help prevent pressure sores. Pressure Sores
The nail perch can cause pressure sores. You need one that has a smooth top and you need to replace the plastic perch as well.
I would need to actually see the birds' nails to determine if they are too long. Many budgies never need their nails trimmed.
Mine have never had theirs trimmed and they do not have "pedi-perches". They have only wooden perches of varying diameters.