iPhone 5S 64 bit and storage amount. Since it is 64 bit will I need a larger storage size ie apps be larger?

The reference to 64 bit processor in the new phone has to do with the way the main computer chip deals with its processing job and nothing to do with storage size. The main computer chip now processes its data in chunks or words that are 64 bits wide as against 32 bits computer words in the previous computer chip. The reference to 32 GB or giga bytes has to do with the size of the flash memory storage. You will have enough storage to deal with any app that you might care to download unless of course you fill up the 32 GB of stargaze which is unlikely. Read this article it explains what is meant by 64 bit processing

Because the increase to 64 bit words being processed by the main chip as against 32 bit computer words or data chunks the processor runs faster. This has nothing to do with the size of the flash memory. You will be fine with a phone that has flash memory of 32 GB (32 giga bytes). One byte is a computer word which in the case of the new phone is 64 bits in length.

It should say "storage" in "32 GB of stargaze which is unlikely." I cannot edit on my ipad and autocorrect got me there

A 64 bit version of an app cannot run on a device that has a 32 bit processor in much the same way as my PC which has a 32 processor and runs a 32 bit version of Windows 7. My PC cannot run the 64 bit version of WIN 7. When I install programs I make sure that I only install programs compatible with the 32 bit processor in my PC. There is little difference if no difference in size between 32 and 64 bit program because it all has to do with how the CPU handles data presented to it on the data and other buses. Like I said it has nothing to do with memory size and all to do with speed of processing of data by the CPU. I expect what I say will hold for the processor chip in the new phone and you will not experience memory shortage issues.