I purchased some Dash coins today and still have them on an exchange. I do not feel good to store them there long term and I do not want to store them on a paper wallet. I want to transfer them to a local desktop wallet. What is the best lightweight Dash wallet what does not need to download entire blockchain?
"the best" is a matter of taste really. Dash is available on Jaxx
http://jaxx.io/ and Exodus
https://www.exodus.io/If you have substantial amount of coins than I would really suggest using some HW wallet - Trezor
https://trezor.io/, Ledger Nano S
https://www.ledgerwallet.com/products/ledger-nano-s and Keepkey
https://www.keepkey.com/ - all of them support Dash.