Hi I don't usually do arb tenders but for more general ones would say
Make sure everything can be referenced back. If half way through the contract the service isn't being delivered to plan you need to be able to hold the inspection company to account for their non-performance to your requirements.
I would break it down into:
1) contract specifics. Client. Start date, duration. Relevant people. Details of any staff, arb or landscape consultants or maintenance companies they will have to deal with. Location of all trees and sites.
2) performance specifics. Details of inspection requirements. What you expect them to do, ground inspection only, aerial inspection (if so on what justification). Suggest you reference common sense risk management of trees publication. What information does their survey report have to include - tree id, sketch plan, height, spread, defects, age, species, value, corrective works required, priority level of corrective works, competency level required for corrective works etc. Tree tag requirements.
Are any summaries or analysis of the results required e.g. if there is a lot of mower damage or deer damage a global solution may be more appropriate response.
Is any re-survey required to consider different seasons, what are the timescales for this, what frequency of visits is required if the survey is regularly repeated.
3) Standard stuff. What the survey company always need to comply with. Maybe stating the obvious like carry survey out in daylight. Display warning signage. Are any locations likely to need agreement to get access. What standard should those undertaking the work be qualified to. Is sonic equipment required, if so what triggers it's use. If climbing inspection consider bats and birds etc. Any other standard conditions e.g. parking, access, carrying ID etc.
4) contract stuff, payments frequency and timings
, insurance they must hold etc.
Make sure it has reference number and date etc.