Short bead chains? Ten bead chains? Long bead chains? 

For the bead chains, there is different between long bead chains and our ten bead chains.

Montessori Long bead chains

All bead chains up to cube number. Each set has 10 bead chains.
For example,
bead chain 1 only has 1 bead bar. 1 bead in total (cube number of 1 is 1*1*1=1)
bead chain 2 has 4 bead bars and each bead bar has 2 beads , 8 beads in total (cube number of 2, 2*2*2=8)
....
bead chain 9 has 81 bead bars and each bar has 9 beads, 729 beads in total (cube number of 9, 9*9*9=729)
bead chain 10 has 100 bead bars and each bar has 10 beads, 1000 beads in total (cube number of 10, 10*10*10=1000)

Our Ten bead chains 

Each set has 10 bead chains. We designed this set to be a visual tool for the times table. Times table is up to 10*10. We also have another modified version up to 12 bead bars, so children can work their times table up to *12.
Each number has 10 bead bars.
bead chain 1 has 10 bead bars. 10 beads in total
bead chain 2 has 10 bead bars and each bead bar has 2 beads , 20 beads in total
bead chain 9 has 10 bead bars and each bar has 9 beads, 90 beads in total
bead chain 10 has 10 bead bars and each bar has 10 beads, 100 beads in total
I made this design when my own daughter was working on times table, and she didn't like the Montessori multiplication board. She was 7 at that time. She didn't like number tiles and found that's too challenging. Therefore, I made these bead chains to help her visualize the times table. Also, that's convenient tool to be around her workplace. She just took a bead chain and count the beads whenever she has doubt about the times table.
I designed these ten bead chains and that is not in the Montessori standard album by Maria Montessori. There are different companies including those well-known Montessori manufactories started to make these ten bead chains after us. It gives people impression that is Montessori standard, but it is not. I was inspired by Maria Montessori's idea and use the bead bars but that's not the Montessori long bead chains.

Do I recommend skipping short bead chains and jump to long bead chains?

No. I found we need to wait TOO LONG to do it. A child needs to master 1-1000 before they can work on long bead chains. (Bead bar 9 has 729 beads in total. A child knows how to 3 digits addition before starting it)
For short bead chains, a child only needs to master 1-100 before he/she can start short bead chains.
Also it requires a lot of patience for the working of long bead chains. For bead bar 9, there are 81 bead bars and only 9 bead bars for short bead chain.

Do I recommend skipping short bead chains and jump to ten bead chains?

It depends.
For counting, they both requires a child mastering 1-100.

Short bead chains feature:

-show how to make square number and why we call it 'square' number
-can be used with bead squares together
-use polygon cards for geometry

Ten bead chains feature:

-visual tool for times table
-child can learn up times 10 or times 12 with each number

Ideally, I recommend to start with short bead chains, then move to ten bead chains.
If you only has one child to use those materials, you can choose to 'extend' the short bead chains to ten bead chains. In this case, your child can benefit from both materials.