On the current configuration I have a distance of 50mm.
Hello
And with this kind of landing found at MISUMI,
The bearing assembly is inside the tube, you just need a bore + 2 inserts.
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Hello
Maybe with a shaft completely through your profile you can put a bearing on each side to prevent the shaft from pivoting. Ideally, you should also determine the loads in order to be able to size the shaft and the bearings associated with it. Once dimensioned, it will be much simpler to design the system.
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I looked on my side,
I looked at the bearings at Misumi: Link bearing
What I can advise you, so two 1-row bearings
If there is a risk of dust: Choose with seals like this you can be sure that dust or other elements will not enter the bearing and it will allow you to avoid changing it
After that as I don't know the limit of the external diameter
I just filtered on the bore and gaskets, I hope the filter will still be active 
For the width you have to look according to the element where the bearing will be put
do not take bearings with AIs wider than the AE preferably
I remain available
Following all your advice, here is what I managed to apply.
The sprockets that are fixed on the 25mm axle have a flat so that they cannot rotate around the axle and are blocked by circlips.
I positioned two bearings with a 25mm diameter bore by putting circlips on them adjusted at the end to hold the axle.
The whole thing is oversized but I prefer it this way.
If you have any remarks or comments, don't hesitate to let me know about them.
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For the bearing part, it seems much more mechanical to me.
For the pine nut, the flat worries me a little.
In general, to fix a pinion on a shaft, a key+ key groove is used
And instead of the circlips, a BTR locking screw on the pinion shoulder (as on the bearing ring) seems more appropriate to me
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It would be possible to have a Cut view at the level of the shaft to see the positioning of the parts and stops?
Otherwise at the belt level, have you thought about adjusting the belt tension?
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Hello;
I will add a (positive) shoulder on the shaft at the level of the second landing, you will gain two circlips... In addition to the groove/keyway drive offered by @sbadenis
(What is the distance between the two bearings?.. No doubt you will need to provide grooves (if they do not exist on your bearing holders so that the two bearings are coaxial...)
Kind regards.
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