Changing Computers , Bronze package sufficient?

Hi, Hansel, and welcome!

I am planning to buy a  bronze or silver package of the logos 5 to download onto my Macbook Air. However,I am hoping to buy a mac desktop in couple of months time. Will it be possible for me to download Logos 5 and use it on my desktop as well?

Yes, you will. As long as it's for your personal use, you can download onto all your devices.

Also, I have a bit of constraint on budget. Hence, I was wondering whether the bronze package would be enough for me to perform basic word/clause/phrase searches, greek and hebrew meanings of the words and where all they are found in the scriptures.

Bronze will be good enough for this, I think, although Logos' Clause Search tool isn't included in Bronze. But Bronze has the reverse interlinears and some good starter lexicons that will give you the meanings of Greek and Hebrew words. Word/Phrase search is a standard Logos feature.

I wrote a buyer's guide to Logos 5, which may help: http://www.logosbiblesoftwaretraining.com/documents/logos-5-buyers-guide/

You can always upgrade later, once you're progressing in your studies, and have saved up some more money. The cost to upgrade will be slightly more than the difference in price between Bronze and Silver.

If the "Clause Search" functionality is important to you, a cheaper option is probably going with Bronze and the Minimal Crossgrade (https://www.logos.com/product/28376/logos-5-minimal-crossgrade)

Note that the MC has dynamic pricing, so once you own Bronze, the price for the MC will go down drastically.

However, only 1% of 5.08 GB has been downloaded since last night.

A realistic download time for 5GB might be one hour (assuming a 15MBs connection). After the download, indexing then needs to take place, which would take several more hours. But there have been no reported problems with Logos's download servers over the last 24 hours. so if it's stuck downloading, and restarting your Mac doesn't fix it, then I suggest starting a new thread describing the problem, so that Mac experts on the forum can help.

You will likely outgrow whatever package you purchase. Nothing wrong with that, just the nature of how Logos works and how you use it. The idea of Logos is based on having your library electronically accessible. You don't really outgrow Logos, you just add what you need. 

hmmmm, I have never outgrew my base package.  I did what Tim stated in his article (http://www.challies.com/articles/is-it-time-to-move-to-logos), purchased just what I knew that would be using.  I did not upgrade when L4 came out and I did not upgrade with L5 came out.  What I have works for me.